Question 530191
Find the factor of:
{{{(2a+7)/(a^2-2a-15)}}} - {{{(3a-4)/(a^2-7a+10)}}}
:
Factor
{{{(2a+7)/((a-5)(a+3)))}}} - {{{(3a-4)/((a-5)(a-2))}}}
:
The common denominator: (a-5)(a+3)(a-2)
;
{{{((a-2)(2a+7) - (a+3)(3a-4))/((a-5)(a+3)(a-2))}}}
:
FOIL; Remove brackets:
{{{((2a^2+3a-14) - (3a^2+5a-12))/((a-5)(a+3)(a-2))}}} = {{{((2a^2+3a-14 - 3a^2-5a+12))/((a-5)(a+3)(a-2))}}}
:
combine like terms and you have:
{{{((-a^2-2a-2))/((a-5)(a+3)(a-2))}}} 
:
That's about all you can do with it